Finite temperature Casimir effect for massless Majorana fermions in a magnetic field

Journal Article · Sat Jan 15 00:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.025005· OSTI ID:21503979

Erdas, Andrea ^[1]

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1. Department of Physics, Loyola University Maryland, 4501 North Charles Street Baltimore, Maryland 21210 (United States)

The zeta function regularization technique is used to study the finite temperature Casimir effect for a massless Majorana fermion field confined between parallel plates and satisfying bag boundary conditions. A magnetic field perpendicular to the plates is included. An expression for the zeta function is obtained, which is exact to all orders in the magnetic field strength, temperature and plate distance. The zeta function is used to calculate the Helmholtz free energy of the Majorana field and the pressure on the plates, in the case of weak magnetic field and strong magnetic field. In both cases, simple analytic expressions are obtained for the free energy and pressure which are very accurate and valid for all values of the temperature and plate distance.

• OSTI ID: 21503979
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 2; Other Information: DOI: 10.1103/PhysRevD.83.025005; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
CASIMIR EFFECT
FERMIONS
FREE ENERGY
MAGNETIC FIELDS
MAJORANA THEORY
ENERGY
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES